Eric have $175, Marcia have $87.5 and Laurel have $262.5
Step-by-step explanation:
Let,
Amount of Eric = x
Amount of Marcia = y
Amount of Laurel = z
According to given statement;
Eric has twice money as Marcia
x = 2y Eqn 1
Marcia has $175 less than Laurel
y = z-175 Eqn 2
Laurel has as much money as Eric and Marcia have together.
z = x+y Eqn 3
Putting x=2y from Eqn 1 in Eqn 3
[tex]z=2y+y\\z=3y\ \ \ Eqn\ 4[/tex]
Putting y=z-175 from Eqn 2 in Eqn 4
[tex]z=3(z-175)\\z=3z-525\\525=3z-z\\525=2z\\2z=525[/tex]
Dividing both sides by 2
[tex]\frac{2z}{2}=\frac{525}{2}\\z=262.5[/tex]
Putting z=262.5 in Eqn 2
[tex]y=262.5-175\\y=87.5[/tex]
Putting y=87.5 in Eqn 1
[tex]x=2(87.5)\\x=175[/tex]
Eric have $175, Marcia have $87.5 and Laurel have $262.5
Keywords: linear equation, addition
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